Question

दिलेलं एकसामयिक समीकरण सोडवा: 49x - 57y = 172; 57x - 49y = 252

Answer 1

Answer:

Step-by-step explanation:

9x - 57y = 172 ........ (i), आणि

57x-49y = 252 ............. (ii)

(i) आणि (ii) जोडणे , आम्हाला

106x - 106y = 424

=> x - y = 4 ................. (iii)

आता अवतरण (i) आणि (ii), आम्हाला

-8x मिळते - 8y = -80

=> x + y = 10 ............... (iv)

जमा करणे (iii) (iv) आम्ही करा

2x = 14

=> x = 7

टाकल्यावर x मधील प्रश्नाचे मूल्य (iii), आम्हाला

y = 3 मिळते

Answer 2

49x - 57y = 172 ------------(1)
57x - 49y = 252 ------------(2)

adding equation no. 1 and 2
49x - 57 y = 172
+57x - 49y = 252
------------------------
106x - 106y = 424
dividing by 4
x-y = 4 --------(3)

subtracting equation no. 1 from 2
57x - 49y = 252
- 49x - 57y = 172
-----------------------
8x + 8y = 80
dividing by 10
x+ y =10 ---------------(4)

adding equation no.3 and 4
x - y = 4
+x + y = 10
----------------
2x = 14
x = 14/2
x=7

put x=7 in equation no. 4
x+ y = 10
7 + y = 10
y= 10-7
y = 3

(x,y) = (7,3) is the soln